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3 years ago

What is the following product? (5√2-4√3)(5√2-4√3)

Mathematics

1 answer:

Galina-37 [17]3 years ago

6 0

Step-by-step explanation:

(5√2-4√3)(5√2-4√3)=

(5√2-4√3)^2=(5√2)^2+(4√3)^2-2(5√2)(4√3)

=25*2+16*3-10√2*4√3

=50+48-10√2*4√3

=98-10√2*4√3 is the answer

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Kevin has $1,427 in a savings account.His brother has saved an amount with the 4 that is 1/10 the value of the 4 in Kevin's acco

Contact [7]

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4 years ago

Need help!!! I don't understand it..

JulsSmile [24]

Okay so every triangle will have 3 angles that add to 180 degrees. You are given that A=65 which means that B + C will have to add to 115. You are given that B= (3x-10) and C=2x, plug this into B+C=115. So
3x-10+2x=115, isolate x, 5x=125, divide both sides by 5 and you get that x=25. This makes B=65, and C=50. Just to check, if you add these together you get 180 degrees.

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3 years ago

4. Solve the following system of equations for x.

Ber [7]

We are given the system of equations -:

$\large{ \begin{cases} 2x + 3y = - 14 \\ y = 6x + 22 \end{cases}}$

Since the second equation is y-isolated equation. It can be substituted as y = 6x+22 in the first equation.

$\large{2x + 3(6x + 22) = - 14}$

Expand 3 in the expression so we can combine like terms and isolate x-variable.

$\large{2x + 18x + 66 = - 14}$

Then combine like terms.

$\large{20x + 66 = - 14}$

Get rid of 66 from the left side by subtracting both sides by itself.

$\large{20x + 66 - 66 = - 14 - 66} \\ \large{20x = - 80}$

To finally isolate the variable, divide both sides by 20 so we can leave x only on the left side.

$\large{ \frac{20x}{20} = \frac{ - 80}{20} }$

Simplify to the simplest form.

$\large{x = - 4}$

Normally, we have to find the y-value too but since we only find x-value. The answer is x = -4.

Answer

x = -4

I hope this helps! If you have any questions or doubts regarding my answer, explanation or system of equations, feel free to ask!

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3 years ago

Ella grew 3 over 4 of an inch last year. Ben grew 2 over 3 of an inch last year. How much more did Ella grow than Ben last year?

IrinaK [193]

Answer:

Ella grew $\frac{1}{12}$ of an inch more

Step-by-step explanation:

For this problem, you want to subtract Ben's growth from Ella's.

This expression would be $\frac{3}{4}$ - $\frac{2}{3}$ .

To work these out, they must have the same denominator (which should be the lowest common multiple or LCM).

In this case, the LCM is 12, so you want to multiply each side so the denominator is 12. This means the first fraction should be multiplied by $\frac{3}{3}$ and the second by $\frac{4}{4}$ .

This makes the expression $\frac{9}{12}$ - $\frac{8}{12}$ , which equals $\frac{1}{12}$ .

**This content involves adding and subtracting fractions, which you may want to revise. I'm always happy to help!

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3 years ago

a diver is 19 meters below the surface of the water use an integer to represent how far the diver will need to travel to reach t

Basile [38]

Answer:

The diver need to travel 19 meter up to reach the surface

Step-by-step explanation:

* Lets explain how to solve the problem

- For any starting point the position at it is zero

- If the moving from the starting point is vertically, then the distance

below the starting point is negative and above the starting point

is positive

- If the moving from the starting point is horizontally, then the

distance left to the starting point is negative and right to the

starting point is positive

* Lets solve the problem

- A diver is 19 meters below the surface of the water

- Assume that the surface of the water is the zero position

∵ The diver is 19 meter below the surface of the water

∴ The diver is at the position -19

- The diver need to travel 19 meters to reach the surface of the water

∵ -19 + 19 = 0

∴ The diver need to travel 19 meter up to reach the surface

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3 years ago